Del 358 i serien London Mathematical Society Lecture Note Series

Geometric and Cohomological Methods in Group Theory

Häftad, Engelska, 2009

AvMartin R. Bridson,Peter H. Kropholler,Ian J. Leary

1 139 kr

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Geometric group theory is a vibrant subject at the heart of modern mathematics. It is currently enjoying a period of rapid growth and great influence marked by a deepening of its fertile interactions with logic, analysis and large-scale geometry, and striking progress has been made on classical problems at the heart of cohomological group theory. This volume provides the reader with a tour through a selection of the most important trends in the field, including limit groups, quasi-isometric rigidity, non-positive curvature in group theory, and L2-methods in geometry, topology and group theory. Major survey articles exploring recent developments in the field are supported by shorter research papers, which are written in a style that readers approaching the field for the first time will find inviting.

Produktinformation

Utgivningsdatum2009-10-29
Mått152 x 228 x 20 mm
Vikt530 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor330
FörlagCambridge University Press
ISBN9780521757249

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Preface; List of participants; 1. Notes on Sela's work: limit groups and Makanin-Razborov diagrams M. Bestvina and M. Feighn; 2. Solutions to Bestvina & Feighn's exercises on limit groups H. Wilton; 3. L2-Invariants from the algebraic point of view W. Lück; 4. Constructing non-positively curved spaces and groups J. McCammond; 5. Homology and dynamics in quasi-isometric rigidity of once-punctured mapping class groups L. Mosher; 6. Hattori-Stallings trace and Euler characteristics for groups I. Chatterji and G. Mislin; 7. Groups of small homological dimension and the Atiyah conjecture P. H. Kropholler, P. Linnell and W. Lück; 8. Logarithms and assembly maps on Kn(Zl[G]) V. P. Snaith; 9. On complete resolutions O. Talelli; 10. Structure theory for branch groups J. S. Wilson.